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Finding the Fourth Proportional to 142.62, 214.01 and 81.80

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Solution

The fourth proportional to 142.62, 214.01 and 81.80 is: 122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 214.01 = 81.80 : x
  2. Step 2: Convert to fraction form
    142.62/214.01 = 81.80/x
  3. Step 3: Cross multiply
    142.62x = 214.01 × 81.80
  4. Step 4: Simplify right side
    142.62x = 17,506.02
  5. Step 5: Solve for x
    x = 17,506.02/142.62
  6. Step 6: Final answer
    x = 122.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.